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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><FONT face="Times New Roman" size=3>Hi,</FONT></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" /><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman"><SPAN style="mso-spacerun: yes"> </SPAN>I am doing some tests with SYMPHONY and I am finding that when I have a problem where the number of constraints is lower than the number of unknown variables, I can not get the solution. For instance:<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><B style="mso-bidi-font-weight: normal"><U><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><SPAN style="TEXT-DECORATION: none"><FONT face="Times New Roman" size=3></FONT></SPAN></o:p></SPAN></U></B></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><B style="mso-bidi-font-weight: normal"><U><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><SPAN style="TEXT-DECORATION: none"><FONT face="Times New Roman" size=3></FONT></SPAN></o:p></SPAN></U></B></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><B style="mso-bidi-font-weight: normal"><U><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman"></FONT></FONT></SPAN></U></B> </P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><B style="mso-bidi-font-weight: normal"><U><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">In the next problem:<o:p></o:p></FONT></FONT></SPAN></U></B></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><B style="mso-bidi-font-weight: normal"><U><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><SPAN style="TEXT-DECORATION: none"><FONT face="Times New Roman" size=3> </FONT></SPAN></o:p></SPAN></U></B></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><B style="mso-bidi-font-weight: normal"><U><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><SPAN style="TEXT-DECORATION: none"><FONT face="Times New Roman" size=3> </FONT></SPAN></o:p></SPAN></U></B></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=PT-BR style="mso-ansi-language: PT-BR"><FONT size=3><FONT face="Times New Roman">minJ = 26.305*x1 + 26.0454*X2<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><B style="mso-bidi-font-weight: normal"><U><SPAN lang=PT-BR style="mso-ansi-language: PT-BR"><FONT size=3><FONT face="Times New Roman"><SPAN style="mso-spacerun: yes"> </SPAN><o:p></o:p></FONT></FONT></SPAN></U></B></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=PT-BR style="mso-ansi-language: PT-BR"><FONT size=3><FONT face="Times New Roman">//<SPAN style="mso-spacerun: yes"> </SPAN>Minimize<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">//<SPAN style="mso-spacerun: yes"> </SPAN>obj: 26.305*x1 + 26.0454*x2<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">//<SPAN style="mso-spacerun: yes"> </SPAN>Subject To<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">//<SPAN style="mso-spacerun: yes"> </SPAN>c1:<SPAN style="mso-spacerun: yes"> </SPAN>0.1531*x1 + 26.305*x2<SPAN style="mso-spacerun: yes"> </SPAN><= -7.78666<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">//<SPAN style="mso-spacerun: yes"> </SPAN>Bounds<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">//<SPAN style="mso-spacerun: yes"> </SPAN>0<SPAN style="mso-spacerun: yes"> </SPAN><= x1 <= 1000000<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">//<SPAN style="mso-spacerun: yes"> </SPAN>0<SPAN style="mso-spacerun: yes"> </SPAN><= x2 <= 1000000<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">//<SPAN style="mso-spacerun: yes"> </SPAN>Integers<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">//<SPAN style="mso-spacerun: yes"> </SPAN>x1<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><B style="mso-bidi-font-weight: normal"><U><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><SPAN style="TEXT-DECORATION: none"><FONT face="Times New Roman" size=3> </FONT></SPAN></o:p></SPAN></U></B></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><B style="mso-bidi-font-weight: normal"><U><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">The code of the problem for SYMPHONY is:</FONT></FONT></SPAN></U></B></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; COLOR: blue; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes">int</SPAN><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"> main(<SPAN style="COLOR: blue">int</SPAN> argc, <SPAN style="COLOR: blue">char</SPAN>* argv[]){<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: green">/* Create a SYMPHONY environment */<o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>sym_environment *env = sym_open_environment();<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">int</SPAN> n_cols = 2; <SPAN style="COLOR: green">//number of columns<o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">double</SPAN> * objective<SPAN style="mso-spacerun: yes"> </SPAN>= <o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>(<SPAN style="COLOR: blue">double</SPAN> *) malloc(<SPAN style="COLOR: blue">sizeof</SPAN>(<SPAN style="COLOR: blue">double</SPAN>) * n_cols);<SPAN style="COLOR: green">//the objective coefficients<o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">double</SPAN> * col_lb<SPAN style="mso-spacerun: yes"> </SPAN>= <o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>(<SPAN style="COLOR: blue">double</SPAN> *) malloc(<SPAN style="COLOR: blue">sizeof</SPAN>(<SPAN style="COLOR: blue">double</SPAN>) * n_cols);<SPAN style="COLOR: green">//the column lower bounds<o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">double</SPAN> * col_ub<SPAN style="mso-spacerun: yes"> </SPAN>= <o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>(<SPAN style="COLOR: blue">double</SPAN> *) malloc(<SPAN style="COLOR: blue">sizeof</SPAN>(<SPAN style="COLOR: blue">double</SPAN>) * n_cols);<SPAN style="COLOR: green">//the column upper bounds<o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: green">//Define the objective coefficients.<o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: green"><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>objective[0] = 26.305;<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>objective[1] = 26.0454;<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: green">//Define the variable lower/upper bounds.<o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: green">//<SPAN style="mso-spacerun: yes"> </SPAN>--Bounds</SPAN><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: green"><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>col_lb[0] = 0.0;<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>col_lb[1] = 0.0;<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>col_ub[0] = 1000000;<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>col_ub[1] = 1000000;<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">int</SPAN> n_rows = 1;<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">char</SPAN> * row_sense = <o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>(<SPAN style="COLOR: blue">char</SPAN> *) malloc (<SPAN style="COLOR: blue">sizeof</SPAN>(<SPAN style="COLOR: blue">char</SPAN>) * n_rows); <SPAN style="COLOR: green">//the row senses<o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">double</SPAN> * row_rhs = <o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>(<SPAN style="COLOR: blue">double</SPAN> *) malloc (<SPAN style="COLOR: blue">sizeof</SPAN>(<SPAN style="COLOR: blue">double</SPAN>) * n_rows); <SPAN style="COLOR: green">//the row right-hand-sides<o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">double</SPAN> * row_range = NULL; <SPAN style="COLOR: green">//the row ranges<SPAN style="mso-spacerun: yes"> </SPAN><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>row_sense[0] = <SPAN style="COLOR: #a31515">'L'</SPAN>;<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>row_rhs[0] = -7.78666;<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: green">/* Constraint matrix definitions */<o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">int</SPAN> non_zeros = 2;<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">int</SPAN> * start = (<SPAN style="COLOR: blue">int</SPAN> *) malloc (<SPAN style="COLOR: blue">sizeof</SPAN>(<SPAN style="COLOR: blue">int</SPAN>) * (n_cols + 1)); <o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">int</SPAN> * index = (<SPAN style="COLOR: blue">int</SPAN> *) malloc (<SPAN style="COLOR: blue">sizeof</SPAN>(<SPAN style="COLOR: blue">int</SPAN>) * non_zeros);<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">double</SPAN> * value = (<SPAN style="COLOR: blue">double</SPAN> *) malloc (<SPAN style="COLOR: blue">sizeof</SPAN>(<SPAN style="COLOR: blue">double</SPAN>) *non_zeros);<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>start[0] = 0; <o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>start[1] = 1;<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>start[2] = 2;<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>index[0] = 0;<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>index[1] = 1;<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; COLOR: green; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>value[0] = 0.1531;<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>value[1] = 26.305;<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; COLOR: green; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: green">//define the integer variables<o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; COLOR: green; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">char</SPAN> * int_vars = (<SPAN style="COLOR: blue">char</SPAN> *) malloc (<SPAN style="COLOR: blue">sizeof</SPAN>(<SPAN style="COLOR: blue">char</SPAN>) * n_cols);<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>int_vars[0] = INTEGER;<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>int_vars[1] = FALSE;<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: green">//load the problem to environment<o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>sym_explicit_load_problem(env, n_cols, n_rows, start, index, value, col_lb, <o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-tab-count: 3"> </SPAN><SPAN style="mso-spacerun: yes"> </SPAN>col_ub, int_vars, objective, NULL, row_sense, <o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-tab-count: 3"> </SPAN><SPAN style="mso-spacerun: yes"> </SPAN>row_rhs, row_range, TRUE);<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: green">//solve the integer program<o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>sym_solve(env);<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: green">//get, print the solution<o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">double</SPAN> * solution = (<SPAN style="COLOR: blue">double</SPAN> *) malloc (<SPAN style="COLOR: blue">sizeof</SPAN>(<SPAN style="COLOR: blue">double</SPAN>) * n_cols);<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">double</SPAN> objective_value = 0.0;<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>sym_get_col_solution(env, solution);<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>sym_get_obj_val(env, &objective_value);<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>printf(<SPAN style="COLOR: #a31515">"%s\n%s%f\n%s%f\n%s%f\n"</SPAN>,<SPAN style="COLOR: #a31515">"JUEVES The optimal solution is"</SPAN>,<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-tab-count: 1"> </SPAN><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: #a31515">" x0 = "</SPAN>,solution[0],<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-tab-count: 1"> </SPAN><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: #a31515">" x1 = "</SPAN>,solution[1],<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-tab-count: 1"> </SPAN><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: #a31515">" with objective value = "</SPAN>,objective_value);<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: green">//free the memory<o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN>sym_close_environment(env);<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">if</SPAN>(objective){free(objective);}<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">if</SPAN>(col_lb)<SPAN style="mso-spacerun: yes"> </SPAN>{free(col_lb);}<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">if</SPAN>(col_ub)<SPAN style="mso-spacerun: yes"> </SPAN>{free(col_ub);}<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">if</SPAN>(row_rhs)<SPAN style="mso-spacerun: yes"> </SPAN>{free(row_rhs);}<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">if</SPAN>(row_sense){free(row_sense);}<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">if</SPAN>(row_range){free(row_range);}<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">if</SPAN>(index)<SPAN style="mso-spacerun: yes"> </SPAN>{free(index);}<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">if</SPAN>(start)<SPAN style="mso-spacerun: yes"> </SPAN>{free(start);}<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">if</SPAN>(value)<SPAN style="mso-spacerun: yes"> </SPAN>{free(value);}<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">if</SPAN>(int_vars) {free(int_vars);}<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">if</SPAN>(solution) {free(solution);}<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">return</SPAN> 0; <o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN lang=EN-GB style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-ansi-language: EN-GB; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-no-proof: yes">}<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><SPAN style="FONT-SIZE: 10pt; FONT-FAMILY: 'Courier New'; mso-fareast-language: ES; mso-no-proof: yes"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><B style="mso-bidi-font-weight: normal"><U><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><SPAN style="TEXT-DECORATION: none"><FONT face="Times New Roman" size=3> </FONT></SPAN></o:p></SPAN></U></B></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><B style="mso-bidi-font-weight: normal"><U><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">I get the next output:<o:p></o:p></FONT></FONT></SPAN></U></B></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">“Solving...<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Out of range 1 1 1 26.305<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">****************************************************<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">* Branch and Cut Finished<SPAN style="mso-spacerun: yes"> </SPAN>*<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">* Now displaying stats and best solution found...<SPAN style="mso-spacerun: yes"> </SPAN>*<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">****************************************************<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">====================== LP/CG Timing =========================<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman"><SPAN style="mso-spacerun: yes"> </SPAN>Total Wallclock Time<SPAN style="mso-spacerun: yes"> </SPAN>0.000<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">====================== Statistics =========================<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Number of created nodes :<SPAN style="mso-spacerun: yes"> </SPAN>1<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Number of analyzed nodes:<SPAN style="mso-spacerun: yes"> </SPAN>1<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Depth of tree:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Size of the tree:<SPAN style="mso-spacerun: yes"> </SPAN>1<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Number of solutions found:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Number of solutions in pool:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Number of Chains:<SPAN style="mso-spacerun: yes"> </SPAN>1<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Number of Diving Halts:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Number of cuts in cut pool:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">======================= LP Solver =========================<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Number of times LP solver called:<SPAN style="mso-spacerun: yes"> </SPAN>1<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Number of solutions found by LP solve:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">==================== Feasibility Pump =====================<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Number of times feasibility pump called:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Number of solutions found by feasibility pump:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Time spent in feasibility pump:<SPAN style="mso-spacerun: yes"> </SPAN>0.00<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">=========================== Cuts ==========================<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">total cuts generated:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">total gomory cuts generated:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">total knapsack cuts generated:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">total oddhole cuts generated:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">total clique cuts generated:<SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">total probing cuts generated:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">total mir cuts generated:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">total twomir cuts generated:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">total flow and cover cuts generated:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">total rounding cuts generated:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">total lift and project cuts generated: 0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">total landp cuts generated:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">cuts removed because of bad coeffs:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">cuts removed because of duplicacy:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">cuts in root:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">gomory cuts in root:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">knapsack cuts in root:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">oddhole cuts in root:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">clique cuts in root:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">probing cuts in root:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">mir cuts in root:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">twomir cuts in root:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">flow and cover cuts in root:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">rounding cuts in root:<SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">lift and project cuts in root:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">landp cuts in root:<SPAN style="mso-spacerun: yes"> </SPAN>0<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">time in cut generation:<SPAN style="mso-spacerun: yes"> </SPAN>0.00<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">time in gomory cuts:<SPAN style="mso-spacerun: yes"> </SPAN>0.00<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">time in knapsack cuts:<SPAN style="mso-spacerun: yes"> </SPAN>0.00<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">time in oddhole cuts:<SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="mso-spacerun: yes"> </SPAN>0.00<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">time in clique cuts:<SPAN style="mso-spacerun: yes"> </SPAN>0.00<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">time in probing cuts:<SPAN style="mso-spacerun: yes"> </SPAN>0.00<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">time in mir cuts:<SPAN style="mso-spacerun: yes"> </SPAN>0.00<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">time in twomir cuts:<SPAN style="mso-spacerun: yes"> </SPAN>0.00<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">time in flow and cover cuts:<SPAN style="mso-spacerun: yes"> </SPAN>0.00<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">time in rounding cuts:<SPAN style="mso-spacerun: yes"> </SPAN>0.00<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">time in lift and project cuts:<SPAN style="mso-spacerun: yes"> </SPAN>0.00<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">time in landp cuts:<SPAN style="mso-spacerun: yes"> </SPAN>0.00<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">time in redsplit cuts:<SPAN style="mso-spacerun: yes"> </SPAN>0.00<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">time in checking quality and adding:<SPAN style="mso-spacerun: yes"> </SPAN>0.00<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Current Lower Bound:<SPAN style="mso-spacerun: yes"> </SPAN>0.000<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">The problem is infeasible!<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">No Solution Found<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">JUEVES The optimal solution is<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman"><SPAN style="mso-spacerun: yes"> </SPAN>x0 = 0.000000<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman"><SPAN style="mso-spacerun: yes"> </SPAN>x1 = 0.000000<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman"><SPAN style="mso-spacerun: yes"> </SPAN>with objective value = 0.000000”<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">What is my fault?<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Thanks a lot<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Regards<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><FONT face="Times New Roman" size=3>===========================================</FONT></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><FONT face="Times New Roman" size=3>Alberto Jorrín Rodríguez</FONT></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><FONT face="Times New Roman" size=3>Departamento de Ingenieria de Sistemas y Automatica</FONT></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><FONT face="Times New Roman" size=3>Dpt.<SPAN style="mso-spacerun: yes"> </SPAN>of Systems Engineering and Automatic Control</FONT></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><FONT face="Times New Roman" size=3>Universidad de Valladolid<SPAN style="mso-spacerun: yes"> </SPAN>/ University of Valladolid</FONT></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=PT-BR style="mso-ansi-language: PT-BR"><FONT size=3><FONT face="Times New Roman">Address: Facultad de Ciencias, c/ Real de Burgos s/n<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">47011 Valladolid, Spain<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Tel: +34 647 670 581, Fax: +34 983 423161<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">e-mail: albejor@autom.uva.es<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">============================================<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-GB style="mso-ansi-language: EN-GB"><o:p><FONT face="Times New Roman" size=3> </FONT></o:p></SPAN></P> <br /><hr /> Llévate gratis un Mazda 2 y una Xbox 360. <a href='http://www.vivelive.com/historiasdehotmail/' target='_new'>ˇParticipa con Hotmail!</a></body>
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